Question

the area under a velocity-time graph is the displacement of the object.
false
true

Explanation:

In physics (a subfield of Natural Science), the displacement of an object can be found by calculating the area under the velocity - time graph. This is because velocity \( v=\frac{\Delta x}{\Delta t} \), so \( \Delta x = v\times\Delta t \). When we have a velocity - time graph, the area between the graph, the time - axis, and the vertical lines corresponding to the initial and final time intervals represents the integral of velocity with respect to time, which is equal to the displacement (for motion in one dimension, considering the sign of velocity for direction). So the statement "The area under a velocity - time graph is the displacement of the object" is true.

Answer:

True